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1014220144 = 24723478377
BaseRepresentation
bin111100011100111…
…100010101110000
32121200102201111001
4330130330111300
54034120021034
6244350131344
734063505020
oct7434742560
92550381431
101014220144
11480556673
122437b0b54
13132178882
14989ada80
155e08ea14
hex3c73c570

1014220144 has 80 divisors (see below), whose sum is σ = 2393561088. Its totient is φ = 406872576.

The previous prime is 1014220139. The next prime is 1014220159. The reversal of 1014220144 is 4410224101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116884 + ... + 125260.

Almost surely, 21014220144 is an apocalyptic number.

1014220144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196780544).

1014220144 is an abundant number, since it is smaller than the sum of its proper divisors (1379340944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1014220144 is a wasteful number, since it uses less digits than its factorization.

1014220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8462 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1014220144 is about 31846.8231382661. The cubic root of 1014220144 is about 1004.7177557790.

Adding to 1014220144 its reverse (4410224101), we get a palindrome (5424444245).

The spelling of 1014220144 in words is "one billion, fourteen million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 47 56 92 94 112 161 184 188 322 329 368 376 644 658 752 1081 1288 1316 2162 2576 2632 4324 5264 7567 8377 8648 15134 16754 17296 30268 33508 58639 60536 67016 117278 121072 134032 192671 234556 385342 393719 469112 770684 787438 938224 1348697 1541368 1574876 2697394 2756033 3082736 3149752 5394788 5512066 6299504 9055537 10789576 11024132 18111074 21579152 22048264 36222148 44096528 63388759 72444296 126777518 144888592 253555036 507110072 1014220144